On the separation of solutions to fractional differential equations of order \(\alpha \in (1,2)\)
type: Item
instance of: scholarly article
title: On the separation of solutions to fractional differential equations of order \(\alpha \in (1,2)\)
zbMATH Open document ID: 1547.34005
author: Renu Chaudhary
author: Kai Diethelm
author: Safoura Hashemishahraki
published in: Applied Numerical Mathematics
publication date: 2024-07-24T00:00:00Z
review text: This paper considers two distinct solutions to the Caputo-type fractional differential equation subject to different sets of initial conditions. Nontrivial upper and lower bounds for different initial conditions are discussed. How such bounds are related to the differences of the associated initial values is given. These results extend the theory of the initial value problem of the Caputo-type fractional differential equation, and provide a basic for further research on the Caputo-type fractional differential equation and its applications. Other problems remain open for the location of the negative real zeros of the Mittag-Leffler functions used in this paper.
reviewed by: Yige Zhao
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34A12
Mathematics Subject Classification ID: 33E12
zbMATH DE Number: 7885876
zbMATH Keywords: fractional differential equation
zbMATH Keywords: Caputo derivative
zbMATH Keywords: initial condition
zbMATH Keywords: separation of solutions
zbMATH Keywords: zeros of two-parameter Mittag-Leffler functions
MaRDI profile type: Publication
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DOI: 10.1016/J.APNUM.2024.05.020
description: scientific article; zbMATH DE number 7885876